论文标题
TCC和距离猜想的全息原则
Holographic origin of TCC and the Distance Conjecture
论文作者
论文摘要
量子引力的独特特征之一是缺乏局部可观察力和边界可观察物的完整性。我们表明，存在质量$ \ lim \ limits_ {t \ rightArrow \ infty} \ frac {m} {h} = \ infty of infty field $中的质量$ \ lim \ limits_ {此外，弱耦合粒子的质量必须像$ M \ Lessim t^{1-2p} $衰减，以确保它们产生非平凡的边界可观察到。该条件可以用标量字段表示，该标量字段将宇宙学驱动为$ m \ lyssim \ exp（-ccc）$，其中$ c $取决于标量的潜力。我们发现的最强界限是为$ v \ sim \ exp（-2x/\ sqrt {d-2}）$实现的，其中$ c = 1/\ sqrt {d-2} $。这些结果将一些在现象学上最有趣的Swampland猜想与全息图最基本的版本联系起来。
One of the unique features of quantum gravity is the lack of local observables and the completeness of boundary observables. We show that the existence of boundary observables for particles with mass $\lim\limits_{t\rightarrow\infty}\frac{m}{H}=\infty$ in scalar field cosmologies where $a(t)\sim t^{p}$ is equivalent to TCC, which implies $p\leq 1$. Moreover, the mass of weakly-coupled particles must decay like $m\lesssim t^{1-2p}$ to ensure that they yield non-trivial boundary observables. This condition can be expressed in terms of the scalar field that drives the cosmology as $m\lesssim\exp(-cϕ)$ where $c$ depends on the scalar potential. The strongest bound we find is achieved for $V\sim \exp(-2ϕ/\sqrt{d-2})$ where $c=1/\sqrt{d-2}$. These results connect some of the most phenomenologically interesting Swampland conjectures to the most basic version of holography.
